The probability distribution of the error variable $\varepsilon$is normal,with mean E($\varepsilon$)= 0,and standard deviation $\sigma$ _{$\varepsilon$} =1.

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The statement contains formatting errors and is not clear. However, if it implies a normal distribution with mean 0 and standard deviation 1, it should be correctly formatted to convey that information.

The Probability Distribution of the Error Variable ε\varepsilonε Is Normal,with Mean E

The Probability Distribution of the Error Variable $\varepsilon$ Is Normal,with Mean E